Nick Cannon has been visiting Mariah and the twins non-stop since their birth last weekend, and despite looking tired, the new daddy gave us a thumbs up on their prognosis!

The little boy, named Moroccan, was named after the "Moroccan Room" ... which is the place in Mariah's NYC apartment where Nick proposed. Mariah says she named her daughter Monroe after the late Marilyn Monroe who has been the singer's inspiration growing up.